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120100014 = 23231253131
BaseRepresentation
bin1110010100010…
…01010010101110
322100222201020200
413022021102232
5221221200024
615530054330
72655555546
oct712112256
9270881220
10120100014
116187aa11
123427a3a6
131bb605c8
1411d44326
15a8252c9
hex72894ae

120100014 has 72 divisors (see below), whose sum is σ = 276046056. Its totient is φ = 37720800.

The previous prime is 120100003. The next prime is 120100027. The reversal of 120100014 is 410001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120099969 and 120100005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 916729 + ... + 916859.

It is an arithmetic number, because the mean of its divisors is an integer number (3833973).

Almost surely, 2120100014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138023028).

120100014 is an abundant number, since it is smaller than the sum of its proper divisors (155946042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120100014 is a wasteful number, since it uses less digits than its factorization.

120100014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120100014 is about 10959.0151929815. The cubic root of 120100014 is about 493.3794077778.

Adding to 120100014 its reverse (410001021), we get a palindrome (530101035).

The spelling of 120100014 in words is "one hundred twenty million, one hundred thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 131 159 186 262 279 318 393 477 558 786 954 961 1179 1643 1922 2358 2883 3286 4061 4929 5766 6943 8122 8649 9858 12183 13886 14787 17298 20829 24366 29574 36549 41658 50933 62487 73098 101866 124974 125891 152799 215233 251782 305598 377673 430466 458397 645699 755346 916794 1133019 1291398 1937097 2266038 3874194 6672223 13344446 20016669 40033338 60050007 120100014